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Finding the Fourth Proportional to 1,099.27, 1,649.51 and 660.65

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Solution

The fourth proportional to 1,099.27, 1,649.51 and 660.65 is: 991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.27 : 1,649.51 = 660.65 : x
  2. Step 2: Convert to fraction form
    1,099.27/1,649.51 = 660.65/x
  3. Step 3: Cross multiply
    1,099.27x = 1,649.51 × 660.65
  4. Step 4: Simplify right side
    1,099.27x = 1,089,745.48
  5. Step 5: Solve for x
    x = 1,089,745.48/1,099.27
  6. Step 6: Final answer
    x = 991.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.